A Course in Complex Analysis

Saeed Zakeri

ISBN 10: 0691207585 / ISBN 13: 9780691207582

Published by Princeton University Press, 2022

About this Item

A Course in Complex Analysis | Saeed Zakeri | Buch | Einband - fest (Hardcover) | Englisch | 2022 | Princeton University Press | EAN 9780691207582 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu.

Seller Inventory # 119916264

Bibliographic Details

• Title: A Course in Complex Analysis
• Publisher: Princeton University Press
• Publication Date: 2022
• Language: English
• ISBN 10: 0691207585
• ISBN 13: 9780691207582
• Binding: Buch
• Condition: Neu
• Dimensions: 211W x 261H x 33D millimeters 211 millimeters width by 261 millimeters height by 33 millimeters depth
• Weight: 1252 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

A comprehensive graduate-level textbook that takes a fresh approach to complex analysis

A Course in Complex Analysis explores a central branch of mathematical analysis, with broad applications in mathematics and other fields such as physics and engineering. Ideally designed for a year-long graduate course on complex analysis and based on nearly twenty years of classroom lectures, this modern and comprehensive textbook is equally suited for independent study or as a reference for more experienced scholars.

Saeed Zakeri guides the reader through a journey that highlights the topological and geometric themes of complex analysis and provides a solid foundation for more advanced studies, particularly in Riemann surfaces, conformal geometry, and dynamics. He presents all the main topics of classical theory in great depth and blends them seamlessly with many elegant developments that are not commonly found in textbooks at this level. They include the dynamics of Möbius transformations, Schlicht functions and distortion theorems, boundary behavior of conformal and harmonic maps, analytic arcs and the general reflection principle, Hausdorff dimension and holomorphic removability, a multifaceted approach to the theorems of Picard and Montel, Zalcman’s rescaling theorem, conformal metrics and Ahlfors’s generalization of the Schwarz lemma, holomorphic branched coverings, geometry of the modular group, and the uniformization theorem for spherical domains.

Written with exceptional clarity and insightful style, A Course in Complex Analysis is accessible to beginning graduate students and advanced undergraduates with some background knowledge of analysis and topology. Zakeri includes more than 350 problems, with problem sets at the end of each chapter, along with numerous carefully selected examples. This well-organized and richly illustrated book is peppered throughout with marginal notes of historical and expository value.

Presenting a wealth of material in a single volume, A Course in Complex Analysis will be a valuable resource for students and working mathematicians.

About the Author

Saeed Zakeri is professor of mathematics at Queens College and the Graduate Center, City University of New York. He is the author of Rotation Sets and Complex Dynamics.